Question

What is log3 6 + log3 13.5

Answer 1

Log base3 (6*13.5)
log base 3 (81)
log base 3 (3)^4
4 log base 3 (3)
4 * 1 = 4

First condense the logs by using the product rule.
Next rewrite 81 in terms of 3.
Use the power rule and bring the 4 to the front.
log base 3 (3) = 1
Which leaves 4 * 1 = 4